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Algebra - Chapter 6 Test

Last updated over 5 years ago

32 Nsɛmmisa

0

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32.

BONUS: Calculate the standard deviation and variance of the following data set, then fill in the Bell Curve based on the provided data:
2, 9, 4, 3, 2, 7, 1

2

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1.

You and 3 of your friends are standing in line for a water slide. In how many different orders can you stand?

2

2

2

2

2

2

2

1

1

2

1

1

1

1

1

2

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17.

Circle whether the compound event is mutually exclusive or overlapping. Then find P(A or B)
Event A: Spinning a Heart
Event B: Spinning a Star

2

2

2

3

3

3

2

2

2

2

2

2

3

3

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2.

How many ways are there to arrange the letters of the word ALGEBRA if youuse each letter exactly once?

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3.

You are choosing a password that has 5 letters followed by 2 digits. How many codes are possible if letters and digits cannot be repeated?

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4.

A popular brand of pen is available in six colors (red, green, purple, orange, black, or blue), four tips (bold, medium, fine, or micro), and two grips (rubber or plastic). How many different choices of pens do you have with this brand?

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5.

Circle whether the question can be answered using combinations or permutation, then answer the question.
The ski club with twelve members wants to choose three officers: captain, co-captain & secretary. How many ways can those offices be filled?

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6.

Circle whether the question can be answered using combinations or permutation, then answer the question.
Six students from your class of 100 students will be selected to be sent on to leadership conference. How many groups of 6 students are possible?

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7.

Circle whether the question can be answered using combinations or permutation, then answer the question.
Ten bands are marching in a parade. How many ways can you order the first 4 bands?

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8.

Given a candy jar with 35 green apple, 30 watermelon, 10 cherry, and 15 blue raspberry jolly rancher candies in it, find the theoretical probability of randomly choosing a watermelon or a green apple candy from the jar.

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9.

Bradley spun the spinner 40 times and recorded his results in the table. According to the table, what was the experimental probability of spinning white?

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10.

Bradley spun the spinner 40 times and recorded his results in the table. What was the theoretical probability of spinning a white?

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11.

A coin is randomly removed from a change jard that contains 7 pennies, 8 nickels, and 5 quarters. What are the odds that the coin chosen is a nickel?

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12.

Probability of spinning a red.

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13.

Probability of spinning a white or blue.

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14.

Probability of NOT spinning a blue.

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15.

Odds of spinning a red.

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16.

Odds of spinning a blue.

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18.

Circle whether the compound event is mutually exclusive or overlapping. Then find P(A or B)
Event A: Spinning a Heart
Event B: Spinning an Odd

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19.

Circle whether the compound event is mutually exclusive or overlapping. Then find P(A or B)
Event A: Spinning a Triangle
Event B: Spinning a Factor of 6

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20.

Circle whether the compound event is mutually exclusive or overlapping. Then find P(A or B)
Event A: Spinning a Star
Event B: Spinning an Even

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21.

Tell whether the events A and B are dependent or independent. Then find P(A and B). You must show your work!!
A box contains 8 purple marbles, 5 green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. Find the probability of choosing a purple marble first and then an orange marble second.

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22.

Tell whether the events A and B are dependent or independent. Then find P(A and B). You must show your work!!
A box contains 8 purple marbles, 5 green marbles, and 2 orange marbles. Two consecutive draws are made from the box with replacement of the first draw. Find the probability of choosing a green marble first and then a green marble second.

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23.

Tell whether the events A and B are dependent or independent. Then find P(A and B). You must show your work!!
A box contains 8 purple marbles, 5 green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. Find the probability of choosing a purple marble first and then a purple marble second.

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24.

The probability of winning a game is 75%. What are the odds in favor of winning that game?

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25.

The odds in favor of a snow day before winter break are 3:11. What is the probability of a snow day?

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26.

What is the probability of randomly guessing someone's 4-digit password if numbers can be repeated?

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27.

A bag contains six yellow jerseys numbered one to six. The bag also contains four purple jerseys numbered one to four. You randomly pick a jersey. What is the probability the jersey is purple or has a number greater than three?

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28.

A basket contains three apples, three peaches, and four pears. You randomly select a piece of fruit. What is the probability it is an apple or a pear?

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29.

You have to put 6 events in order on a history test. You forget to study because you were having so much fun doing standard deviation problems. What is the probability of you guessing the correct order of events?

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30.

Explain in a full sentence HOW to add and subtract fractions, then given an example.

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31.

Explain in a full sentence HOW to multiply or divide fractions, then give an example.